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211010121003 = 31117222125419
BaseRepresentation
bin1100010010000100101…
…1101110110100101011
3202011122122202210010210
43010201023232310223
511424122042333003
6240534155112203
721150012302103
oct3044113566453
9664578683123
10211010121003
1181541792060
1234a8aa42663
1316b8a37b486
14a2da468203
15574ed62503
hex31212eed2b

211010121003 has 24 divisors (see below), whose sum is σ = 326040189120. Its totient is φ = 120362273920.

The previous prime is 211010120987. The next prime is 211010121013. The reversal of 211010121003 is 300121010112.

211010121003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211010121003 - 24 = 211010120987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211010121003.

It is not an unprimeable number, because it can be changed into a prime (211010121013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11053173 + ... + 11072246.

It is an arithmetic number, because the mean of its divisors is an integer number (13585007880).

Almost surely, 2211010121003 is an apocalyptic number.

211010121003 is a deficient number, since it is larger than the sum of its proper divisors (115030068117).

211010121003 is a wasteful number, since it uses less digits than its factorization.

211010121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125467 (or 22125450 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211010121003 its reverse (300121010112), we get a palindrome (511131131115).

The spelling of 211010121003 in words is "two hundred eleven billion, ten million, one hundred twenty-one thousand, three".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 22125419 66376257 243379609 376132123 730138827 1128396369 4137453353 6394246091 12412360059 19182738273 70336707001 211010121003